Question 4 (ivW hich of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically: 2x - 2y - 2 = 0, 4x - 4y - 5 = 0
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2x - 2y - 2 = 0, 4x - 4y - 5 = 0 Comparing these equations with a1x+b1y+c1=0 a2x+b2y+c2=0
We get a1=2,b1=−2,andc1=−2 a2=4,b2=−4andc2=−5
a1a2=24=12 b1b2=−2−4=12 and c1c2=25 Hence, a1a2=b1b2≠c1c2 Therefore, these linear equations are parallel to each other and thus, have no possible solution. Hence, the pair of linear equations is inconsistent.